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Finding the Fourth Proportional to 5,710.64, 8,568.20 and 1,815.60

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Solution

The fourth proportional to 5,710.64, 8,568.20 and 1,815.60 is: 2,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.64 : 8,568.20 = 1,815.60 : x
  2. Step 2: Convert to fraction form
    5,710.64/8,568.20 = 1,815.60/x
  3. Step 3: Cross multiply
    5,710.64x = 8,568.20 × 1,815.60
  4. Step 4: Simplify right side
    5,710.64x = 15,556,423.92
  5. Step 5: Solve for x
    x = 15,556,423.92/5,710.64
  6. Step 6: Final answer
    x = 2,724.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.